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Finding the Fourth Proportional to 738.23, 1,018.89 and 458.57

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Solution

The fourth proportional to 738.23, 1,018.89 and 458.57 is: 632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.23 : 1,018.89 = 458.57 : x
  2. Step 2: Convert to fraction form
    738.23/1,018.89 = 458.57/x
  3. Step 3: Cross multiply
    738.23x = 1,018.89 × 458.57
  4. Step 4: Simplify right side
    738.23x = 467,234.93
  5. Step 5: Solve for x
    x = 467,234.93/738.23
  6. Step 6: Final answer
    x = 632.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.